73634640 has 80 divisors (see below), whose sum is σ = 230693568. Its totient is φ = 19427328.

The previous prime is 73634629. The next prime is 73634651. The reversal of 73634640 is 4643637.

It is an interprime number because it is at equal distance from previous prime (73634629) and next prime (73634651).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21699 + ... + 24861.

Almost surely, 2^73634640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73634640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115346784).

73634640 is an abundant number, since it is smaller than the sum of its proper divisors (157058928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73634640 is a wasteful number, since it uses less digits than its factorization.

73634640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 73634640 is about 8581.0628712299. The cubic root of 73634640 is about 419.1415572722.

The spelling of 73634640 in words is "seventy-three million, six hundred thirty-four thousand, six hundred forty".